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Estimating the Size of a Population from a Single Sample
Eugene M. Laska, Morris Meisner and Carole Siegel
Vol. 44, No. 2 (Jun., 1988), pp. 461-472
Published by: International Biometric Society
Stable URL: http://www.jstor.org/stable/2531859
Page Count: 12
You can always find the topics here!Topics: Population estimates, Maximum likelihood estimation, Population size, Confidence interval, Biometrics, Interval estimators, Random variables, Mathematical vectors, Estimators, Statistical estimation
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Methods for estimating the size of a population of individuals usually require multiple samples from the group. We consider a population composed of an unknown number, N*, of individuals on one or more of K > 1 ordered lists. A single sample of individuals from the population, those on list K, together with the identification of the list on which they last appeared prior to list K is obtained. Under relatively weak assumptions on the probability model, an unbiased maximum likelihood estimator of N* is obtained. An expression is derived for the bias of the estimator and its consequence on the true probability of coverage of the confidence interval when the model's assumptions do not hold. Applications of this method are discussed and an illustrative example is presented.
Biometrics © 1988 International Biometric Society